The number 42496
42496 is a composite number with 20 divisors. Its prime factorisation is × 83. Divisors (20): 1, 2, 4, 8, 16, 32, 64, 83, 128, 166, 256, 332, 512, 664, 1328, 2656 … 42496.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42496 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42496 is composite. Its prime factorisation is
- 3
The divisors add up to 85932; without 42496 itself that is 43436, so 42496 is abundant (43436 is more than 42496). Euler's totient φ(42496) = 20992 numbers up to 42496 share no factor with it.
- 4
The digits of 42496 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42496 = 2^{9} \times 83 \]42496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 85932 |
| Euler totient φ(n) | 20992 |
| Square | 1805910016 |
| Cube | 76743952039936 |
| Square root | 206.145580 (= 16√166) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.2496 × |
42496 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and ninety-six |
| Binary (base 2) | 1010011000000000 |
| Octal (base 8) | 123000 |
| Hexadecimal (base 16) | A600 |
| Base 3 | 2011021221 |
| As time | 42496 seconds = 11 h 48 min 16 s |
Is 42496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42496 ÷ 2 = 21248) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42496 ÷ 4 = 10624) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (42496 ÷ 8 = 5312) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42496 a prime number?
No. 42496 = × 83, so it is divisible by 2.
What are the factors of 42496?
1, 2, 4, 8, 16, 32, 64, 83, 128, 166, 256, 332, 512, 664, 1328, 2656, 5312, 10624, 21248, 42496.
What is 42496 in binary?
1010011000000000 (hexadecimal A600, octal 123000).
What is the square root of 42496?
About 206.1456, exactly 16√166.
Is 42496 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 42496?
It is a composite number with 20 divisors.